Be atoms have been proposed as one of the potential candidates for developing ultra-high-precision optical clocks due to their unique properties [1]}. Compared to other neutral atoms, the blackbody radiation shifts at room temperature of \(2s2p~^1S_0\)  \(\rightarrow \)  \(2s^2~^3P_0\)  clock transition is about 1.7\(\times \) 10\(^{-17}\)  [2]}, which is one or two orders of magnitude smaller than that of the Mg, Sr and Yb atoms  [3]}, [4]}, [5]}. The transition wavelength, 454.997 nm, lies in the optical range and the natural line width is about 0.068 Hz [2]}. Consequently, the quality factor, the ratio of the transition frequency to the natural line width, of this line is about 1\(\times \) 10\(^{16}\)  [2]}. Magic wavelengths for simultaneous trapping of the ground and metastable states were calculated by Mitroy [1]}. As far as we know, there are no reported values for the dynamic \(M1\)  and \(E2\)  polarizabilities as well as hyperpolarizabilities for Be atoms. Therefore, there is also no theoretical analysis of the influence of \(E2\)  and \(M1\)  interactions and nonlinear Stark shifts on the accuracy of optical lattice clocks.
